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Finding the Fourth Proportional to 763.44, 1,145.16 and 520.56

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Solution

The fourth proportional to 763.44, 1,145.16 and 520.56 is: 780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.44 : 1,145.16 = 520.56 : x
  2. Step 2: Convert to fraction form
    763.44/1,145.16 = 520.56/x
  3. Step 3: Cross multiply
    763.44x = 1,145.16 × 520.56
  4. Step 4: Simplify right side
    763.44x = 596,124.49
  5. Step 5: Solve for x
    x = 596,124.49/763.44
  6. Step 6: Final answer
    x = 780.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.